15 days programme_part 2
TRANSCRIPT
-
7/31/2019 15 Days Programme_part 2
1/15
JOM TANYA SIFU 15 Days Programme: Part 2
Prepared by : Pn Hayati Aini Ahmad Page 1
DAY 01 : INDICES AND LOGARITHMS
QUESTION 1
Solve the equation QUESTION 2
Solve the equation
QUESTION 3
Solve the equation QUESTION 4
Solve the equation
QUESTION 5
Solve the equation QUESTION 6
Solve the equation
QUESTION 7
Solve the equation QUESTION 8
Solve the equation
Date of completion: Checked by:
-
7/31/2019 15 Days Programme_part 2
2/15
JOM TANYA SIFU 15 Days Programme: Part 2
Prepared by : Pn Hayati Aini Ahmad Page 2
DAY 02: INDICES AND LOGARITHMS
QUESTION 1
Solve the equation
QUESTION 2
Solve the equation
QUESTION 3
Solve the equation QUESTION 4
Solve the equation
QUESTION 5
Solve the equation QUESTION 6
Solve the equation
QUESTION 7
Given that , express in terms ofQUESTION 8
Given that , find the value of
Date of completion: Checked by:
-
7/31/2019 15 Days Programme_part 2
3/15
JOM TANYA SIFU 15 Days Programme: Part 2
Prepared by : Pn Hayati Aini Ahmad Page 3
DAY 03: INDICES AND LOGARITHMSFUNCTIONS
QUESTION 1
Solve the equation QUESTION 2
Solve the equation
QUESTION 3Solve the equation QUESTION 4Solve the equation
QUESTION 5
Solve the equation QUESTION 6
Given that , find the value of
Date of completion: Checked by:
-
7/31/2019 15 Days Programme_part 2
4/15
JOM TANYA SIFU 15 Days Programme: Part 2
Prepared by : Pn Hayati Aini Ahmad Page 4
DAY 04: INDICES AND LOGARITHMS
QUESTION 1
Solve the equation QUESTION 2
Solve the equation
QUESTION 3
Solve the equation QUESTION 4
Solve the equation
QUESTION 5
Solve the equation QUESTION 6
Solve the equation
QUESTION 7
Given that , find thevalue of
QUESTION 8
Given that , find the value of
Date of completion: Checked by:
-
7/31/2019 15 Days Programme_part 2
5/15
JOM TANYA SIFU 15 Days Programme: Part 2
Prepared by : Pn Hayati Aini Ahmad Page 5
DAY 05: INDICES AND LOGARITHMS
QUESTION 1
Solve the equation QUESTION 2
Solve the equation
QUESTION 3Solve the equation QUESTION 4Solve the equation
QUESTION 5
Solve the equation QUESTION 6
Given that , express in termsof
Date of completion: Checked by:
-
7/31/2019 15 Days Programme_part 2
6/15
JOM TANYA SIFU 15 Days Programme: Part 2
Prepared by : Pn Hayati Aini Ahmad Page 6
DAY 06: INDICES AND LOGARITHMS
QUESTION 1
Given that , find the value ofQUESTION 2
Solve the equation
QUESTION 3
Given that and , express in terms of and
QUESTION 4
Given that and , express
in terms of and
QUESTION 5
Given that and , express in terms of and
QUESTION 6
Given that , find the value of
QUESTION 7
Given that and , express in terms of and
QUESTION 8
Given that and , express in terms of and
Date of completion: Checked by:
-
7/31/2019 15 Days Programme_part 2
7/15
JOM TANYA SIFU 15 Days Programme: Part 2
Prepared by : Pn Hayati Aini Ahmad Page 7
DAY 07 : COORDINATE GEOMETRY
QUESTION 1
The point divides the line segment thatconnects and internally in the ratio . Find the values of and
QUESTION 2
A straight line passes through and .Point divides the line segment in the ratio .Find the coordinates of
QUESTION 3
Diagram 1 shows a straight
line PQ. The point R lies on
PQ such that PR : RQ = 3 : 2.Find the values of and
QUESTION 4
Diagram 2 shows
three points A, M
and B. Given point
M divides AB in the
ratio .Find the
ratio .
QUESTION 5
Diagram 3 shows three
points, P(0 , 2) , Q(2 , 3)and on a straight
line. Given , findthe coordinates of
QUESTION 6
Diagram 4 shows the
point A(3 , 8) and
straight line BC. The
straight line BCintersects the -axis atC, and point D is the
midpoint of BC. Find the
distance of AD
QUESTION 7
Given that A(-3, -8), B(2 , 7) and C(4, k) lie on the
straight line.
(a) Find the value of k
(b) The straight line BC is extended to appoint D(8, 25)
such that BC : CD= m : n. Find the value of m : n
QUESTION 8
Given that the points P(1 , 4), Q(3 , 0) and R(6 ,h) are
collinear, find
(a) the value of h
(b) the ratio of PQ : QR in the form of m : n.
Date of completion: Checked by:
)
)
-
7/31/2019 15 Days Programme_part 2
8/15
JOM TANYA SIFU 15 Days Programme: Part 2
Prepared by : Pn Hayati Aini Ahmad Page 8
DAY 08 : COORDINATE GEOMETRY
QUESTION 1
Find the equation of the perpendicular bisector of the
line joining the points and
QUESTION 2
The points A and B have coordinates (2 , 4) and (10 , 6)
respectively. Find the equation of the perpendicular
bisector of AB.
QUESTION 3
Find the equation of the straight line which is
perpendicular to the straight line
and passes
through the point (-1 , 2)
QUESTION 4
A straight line
has -intercept of 4 and it is
perpendicular to the straight line . Findthe values of and
QUESTION 5
The straight line
has a -intercept of -5
and is parallel to the straight line
. Find the
values of and .
QUESTION 6
Given that the straight lines and
are perpendicular, find the value of
QUESTION 7
Diagram 1 shows the
straight line PQ with the
equation
. Find theequation of the straight line
that is perpendicular to PQ
and passes through Q.
QUESTION 8
Diagram 2 shows the
straight line PQ with the
equation
. Find theequation of the straight line
that is perpendicular to PQ
and passes through P.
Date of completion: Checked by:
-
7/31/2019 15 Days Programme_part 2
9/15
JOM TANYA SIFU 15 Days Programme: Part 2
Prepared by : Pn Hayati Aini Ahmad Page 9
DAY 09 : COORDINATE GEOMETRY
QUESTION 1
Find the equation of the locus of point P which moves
in such a way that its distance from A(3 , 4) is twice its
distance from B(-2 , 1).
QUESTION 2
Diagram 1 shows a straight line
RS which has a midpoint of (4 , 5)
(a) Find the value of(b) Find the equation of the locus
of point which moves suchthat its distance from pointis always 5 units
QUESTION 3
The points A(3,-2), B(-5, -6) and P(x, y) are on the
circumference of a circle with diameter AB, Find theequation of the locus of the point P
QUESTION 4
Find the equation of the locus of a point R which moves
in such a way that where and are-intercept and -intercept of straight line respectively.
QUESTION 5
The points (1 , 5), (4, 0) and (h, -1) are the vertices of atriangle. Given that the area of the triangle is 29 unit2,
find the possible value of h
QUESTION 6
P(6 , 4), Q(k , 1) and R(0, 12) are the vertices of atriangle which is right-angled at P. Find
(a) the value of k (b) equation of PR
QUESTION 7
The vertices of a triangle are and. Given that is a parallelogram, find thecoordinates of.
QUESTION 8
The coordinates of points A, B, C and D are
(h , 4), (7, k), (1, -7) and (2 ,1) respectively. If points A,
B, C and D form a parallelogram, find the values of h
and k.
Date of completion: Checked by:
-
7/31/2019 15 Days Programme_part 2
10/15
JOM TANYA SIFU 15 Days Programme: Part 2
Prepared by : Pn Hayati Aini Ahmad Page 10
DAY 10 : COORDINATE GEOMETRY
QUESTION 1
Diagram 1 shows a
triangle . Point lieson the line . Given thatthe equation of line is (a) Find the coordinate ofpoint if
(b) Hence, find the equation of line (c) Calculate the area of (d) A point moves such that that its distance from
point is equal to the distance between pointand point. Find the equation of the locus .
QUESTION 2
Diagram 2 shows a
trapezium inwhich is parallel to
. is perpendicularto both and . Theequation of the straightline is .
(a) Find
(i) the equation of the straight line(ii) the coordinates of
(b) Given the point lies on the straight line suchthat , find the coordinates of point.
(c) A point moves such that its distance from pointis always twice its distance from point . Find the
equation of the locus .
Date of completion: Checked by:
-
7/31/2019 15 Days Programme_part 2
11/15
JOM TANYA SIFU 15 Days Programme: Part 2
Prepared by : Pn Hayati Aini Ahmad Page 11
DAY 11 : COORDINATE GEOMETRY
QUESTION 1
Diagram 1 shows a
parallelogram PQRS
on a Cartesian
plane .
(a) Find the value of t. Hence, state the equation of a
straight line PQ in the intercept form.
(b) Nis a moving point such that its distance is in the
ratio RQ : QN= 2 : 3. Find the equation of the locus
ofN.
(c) Calculate the area ofPQRS.
QUESTION 2
Diagram 2 shows
a parallelogram
PQRS with point
P(-1 , 6) and point
Q lies on the x-
axis. The equationof the straight line
QS is .
The diagonals PR and QS intersect at point N. Find
(a) the gradient of the straight line PQ
(b) the equation of the straight line PR
(c) the coordinates of point N
(d) the area of the parallelogram PQRS
Date of completion: Checked by:
-
7/31/2019 15 Days Programme_part 2
12/15
JOM TANYA SIFU 15 Days Programme: Part 2
Prepared by : Pn Hayati Aini Ahmad Page 12
DAY 12 : COORDINATE GEOMETRY
QUESTION 1
Diagram 3 shows the straight line RST that has an
equation . The line intersects the x-axisand the y-axis at point R and S respectively.
(a) Given that 2RS = ST, find the coordinate of T.
(b) Point M moves such that its distance from point S
is always one-third its distance from point T.
(i) Find the equation of the locus of M
(ii) Hence, find the coordinates of the points
where the locus of M intersects the x-axis.
QUESTION 2
Diagram 4 shows
a triangle PQR,
where P lies on
the y-axis. Given
that the equation
of PR is
(a) Find
(i) the coordinates of P
(ii) the equation of the straight line that passes t
through P and perpendicular to PR.
(b) Given that the area of triangle PQR is 64 unit2, find
the value of k, where k
-
7/31/2019 15 Days Programme_part 2
13/15
JOM TANYA SIFU 15 Days Programme: Part 2
Prepared by : Pn Hayati Aini Ahmad Page 13
DAY 13 : QUADRATIC FUNCTIONS
QUESTION 1
Diagram 3 shows a point T that lies on the
perpendicular bisector of AB.
(a) Find the equation of straight line AB
(b) A point P moves such that PA = 2AB. Find the
equation of locus of P.
(c) Locus of P intersects the x-axis at points Y and Z.
State the coordinates of Y and Z.
(d) Find the x-intercept of CD.
QUESTION 2
Diagram 4 shows two
perpendicular lines
and intersecting each other
at point(a) Find the equation
of the line PQR
(b) find the
coordinates of P
(c) It is given that , find the coordinatesof.
(d) A point moves such that its distancefrom pointis always half its distance frompoint.(i) Find the equation of the locus of S.
(ii) Hence, determine whether this locus
intercepts the y-axis or not.
Date of completion: Checked by:
-
7/31/2019 15 Days Programme_part 2
14/15
JOM TANYA SIFU 15 Days Programme: Part 2
Prepared by : Pn Hayati Aini Ahmad Page 14
DAY 14 : COORDINATE GEOMETRY
QUESTION 1
Diagram 1 shows the straight lines AN and AL. Given
that the equation of the straight line AN is
and .(a) Find the equation of the straight line(b) The straight line is extended until it intersects
the y-axis at point such that . Findthe coordinates of point
QUESTION 2
Diagram 2 shows the straight line PQ which isperpendicular to the straight line QS at point.Given that the equation of the straight line PQ is
. The straight line SQ is extended to a pointT at the y-axis such that . Find(a) the equation of the straight line ST
(b) the coordinates of T and S(c) A point W moves such that its distance from T is
twice its distance from Q. Find the equation of the
locus of W.
Date of completion: Checked by:
-
7/31/2019 15 Days Programme_part 2
15/15
JOM TANYA SIFU 15 Days Programme: Part 2
Prepared by : Pn Hayati Aini Ahmad Page 15
DAY 15 : COORDINATE GEOMETRY
QUESTION 1
(a) Find
(i) the equation of the straight line AB
(ii) the coordinates of B
(b) The straight line AB is extended to a point D such
that . Find the coordinates of D(c) A point W moves such that its distance from point A
is always 5 units. Find the equation of the locus ofW
QUESTION 2
Diagram 2 shows a kite AEBD. The diagonals AB and
DE intersects at a right angle at C. It is given that the
equation of the straight line BE is .(a) Find
(i) the coordinates of point C
(ii) the quation of the straight line DE
(iii) the coordinates of point E(b) Calculate the area, in unit2, of the triangle ABE
(c) A point P moves such that its distance from point A
is always 4 units. Find the equation of the locus of P
Date of completion: Checked by: